1. Find the area bounded by y= (11 - x)1/2, the lines 3x = 2 and x = 10, and the X-axis. 2. Find the volume generated by rotating the region bounded by y = x, x = 1, and y2 = 4x, about the x-axis.

Q: 1. Find the volume of the solid generated when the region bounded by y = 9- x² and y = 2x +6 is…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Draw the area bounded by the function y = x^2 + 1 and the line y = 2, and then calculate the volume…

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Q: 2. Find the volume of the region bounded by y = vx and y 4x rotated about the x-axis.

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Q: For the area bounded by y2=4x and y=x, find the volume generated if it is revolved about the x-axis

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Q: 2. Find the volume of the solid obtained when the region between the graph the y = f (x) = Vĩ and y…

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Q: 3 14. Find the volume of the solid that results when the region bound by y = x°, x = 2 and the…

A: The given region is the region bounded by y=x3,x-axis y=0 and x=2. To find the volume when the…

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: Consider the region R bounded by the graphs of y = ƒ(x) > 0, x = a > 0, and x = b > a. If…

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Q: 27. Find the volume generated by rotating the area bounded by y = x² + x, x = 1, x = 4, and the…

A: Given that: y=x2+x,   x=1,  x=4   and   the   x-axis To sketch the graph,

Q: Given the area in the first quadrant bounded by the curve x^2 = 8y, the line x = 4 and the x – axis.…

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Q: Find the volume generated by rotating the region between the graphs of x = sqrt (y) , x = 0, and y =…

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Q: Find the volume generated if the area between y = coshx and x from x = 0 to x = 1 is resolved about…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -3 + y² and x = -2y…

A: Given the curve is x=-3+y2, x=-2y Outer radius=-3+y2+9=y2+6 inner radius=-2y+9 Intersection point is…

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y =…

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as…

Q: Find the volume of the solid that results when the region enclosed by x = y² and x y is revolved…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Calculate the volume calculated by rotating f(x) = x2 for x ∈ [1,3] about the axis of the x.

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: We need to find volume.

Q: 14 - Which of the following is the volume of the object that occurs when the region bound by the y=…

A: We sketch the region using a graphing calculator  The shaded region will rotate around the x axis

Q: What is the volume (in πcu. units) of the region bounded by the curve y=x^3, and the lines x=1, x=2…

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Q: Define Q as the region bounded by the functions f(x)=x^2/9 and x=2 in the first quadrant between y=2…

A: Use the washer's method to solve the problem. The volume of the solid is given by V=π∫cdfy2-gy2dy.

Q: Find the volume (in cubic units) of the region bounded by the curves (y – 1)° = x – 1 ,and the lines…

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Q: 1. Find the volume of the solid generated when the region bounded by y = ex, x = 0, x = 2 and the…

A: Note: As per our guidelines we are instructed to solve only one problem. Hope you understand.    The…

Q: Find the volume (in cubic units) of the region bounded by the curves (y-1)' = x – 1 ,and the lines y…

A: We have to find the volume of the region bounded by curvesy-12=x-1 and lines y=-1 and y=2when…

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the y axis

Q: The volume of the region bounded by x² + y² + z2 =1 is

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Q: 2. Find the volume of the region bounded by y = x3 and y = x rotated about %3D the x-axis.

A: In this problem we can use washer method to find the volume of the solid of revolution. Washer…

Q: Find the volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis for…

A: To find: The volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis…

Q: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: 2) Find the volume generated by the area bounded by y = x², y = 4x, revolved about x-axis.

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Q: The region R bounded by y=x^(1/2) +2 and y=x2+2 in the first quadrant is revolved about the line…

A: The given equations are

Q: 4. Find the volume of the solid formed by rotating the region under the graph of f(x) = 1 on [0, 3]…

A: Volume of a solid generated by rotating the graph of a function can be determined using the method…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9 – x² and y = 2x + 6 is…

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Q: Find the volume of the solid obtained if the region bounded by the graphs of y = \x , y =0, and x=9…

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: 1. Find the volume of a solid if the area boun ded by the curve y = In x, the x-axis and the line x…

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Q: Find the volume generated by rotating the region between the graphs of y = 2 - x, x = 0, and the…

A: Consider the provided region, y=2-x,x=0 Find the volume generated by rotating the region between the…

Q: Compute the volume bounded by y=x²-2x and 3y +2x²-27=0 when it is revolved around the y-axis

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Q: Find the volume generated by the area bounded by the y-axis, the line y=1, and the arc of y=sin x…

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Q: Given the area in the first quadrant bounded by x2 8y, the line y - 2 = 0 and the y-axis. What is…

A: The equation of the curves are C1: x2 = 8y ⇒ y = x28C2: y-2 = 0 ⇒ y = 2 Axis of revolution: x-axis…

Q: 9) Find the volume of the region bounded by y = x + 1 x +1' Y = 0, x = 0, and у %3D0, х%3D x = 4…

A: The formula for the washer method around the x-axis is V=π∫abf(x)2-g(x)2dx where f(x) is the top…

Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the…

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the…

Q: 5. Find the volume of generated by rotating the region bounded by x = 4y – y? and x = 0 (a) about…

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Q: For the region bounded by the curves y = x2 + 1 and y = 3 – x², find the following: 1. The area of…

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Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y - y, x…

A: *to find:- Volume of revolution of solid.

Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

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Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y-y3, x…

A: Consider the graph:

Q: 5. Find the volume generated by the areas bounded by the straight line y = x, between y = 0 and x =…

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Q: Given the area in the first quadrant bounded by x²=8y, the line y-2=0 and the y-axis, what is the…

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Q: Find the volume of the solid obtained by rotating the region bounded by -6+ y² and x = y about the…

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